Improper Fraction Worksheets - Free Printable

Let's solve each problem on the worksheet "Improper Fraction to Mixed Number Sheet 2" by converting improper fractions into mixed numbers using the visual diagrams.

---

🔷 How to Convert Improper Fractions to Mixed Numbers:

1. Divide the numerator by the denominator.
2. The quotient is the whole number.
3. The remainder becomes the new numerator.
4. The denominator stays the same.

We'll also shade the diagrams accordingly (as shown in the example).

---

✔ Problem 1: Already Solved

$$
\frac{9}{4} = 2 \frac{1}{4}
$$
- 4 goes into 9 two times (8), remainder 1 → $2 \frac{1}{4}$

---

🟦 Problem 2: $\frac{10}{3}$

- $10 ÷ 3 = 3$ with remainder $1$
- So, $\frac{10}{3} = 3 \frac{1}{3}$
- Shade 3 full circles and 1 part in the 4th circle (each circle divided into 3 parts)

✔ Answer: $3 \frac{1}{3}$

---

🟦 Problem 3: $\frac{5}{2}$

- $5 ÷ 2 = 2$ with remainder $1$
- So, $\frac{5}{2} = 2 \frac{1}{2}$
- Shade 2 full circles, then 1 half in the third circle

✔ Answer: $2 \frac{1}{2}$

---

🟦 Problem 4: $\frac{15}{4}$

- $15 ÷ 4 = 3$ with remainder $3$
- So, $\frac{15}{4} = 3 \frac{3}{4}$
- Shade 3 full circles, and 3 quarters in the fourth circle

✔ Answer: $3 \frac{3}{4}$

---

🟦 Problem 5: $\frac{12}{5}$

- $12 ÷ 5 = 2$ with remainder $2$
- So, $\frac{12}{5} = 2 \frac{2}{5}$
- Shade 2 full circles, and 2 fifths in the third circle

✔ Answer: $2 \frac{2}{5}$

---

🟦 Problem 6: $\frac{11}{6}$

- $11 ÷ 6 = 1$ with remainder $5$
- So, $\frac{11}{6} = 1 \frac{5}{6}$
- Shade 1 full circle, and 5 sixths in the second circle

✔ Answer: $1 \frac{5}{6}$

---

🟦 Problem 7: $\frac{12}{7}$

- $12 ÷ 7 = 1$ with remainder $5$
- So, $\frac{12}{7} = 1 \frac{5}{7}$
- Shade 1 full circle, and 5 sevenths in the second circle

✔ Answer: $1 \frac{5}{7}$

---

🟦 Problem 8: $\frac{8}{2}$

- $8 ÷ 2 = 4$ with remainder $0$
- So, $\frac{8}{2} = 4$ (or $4 \frac{0}{2}$)
- Shade all 4 circles fully (since each is split into 2 parts, 8/2 = 4 wholes)

✔ Answer: $4$

---

🟦 Problem 9: $\frac{13}{6}$

- $13 ÷ 6 = 2$ with remainder $1$
- So, $\frac{13}{6} = 2 \frac{1}{6}$
- Shade 2 full circles, and 1 sixth in the third circle

✔ Answer: $2 \frac{1}{6}$

---

🟦 Problem 10: $\frac{19}{8}$

- $19 ÷ 8 = 2$ with remainder $3$
- So, $\frac{19}{8} = 2 \frac{3}{8}$
- Shade 2 full circles, and 3 eighths in the third circle

✔ Answer: $2 \frac{3}{8}$

---

🟦 Problem 11: $\frac{13}{9}$

- $13 ÷ 9 = 1$ with remainder $4$
- So, $\frac{13}{9} = 1 \frac{4}{9}$
- Shade 1 full circle, and 4 ninths in the second circle

✔ Answer: $1 \frac{4}{9}$

---

🟦 Problem 12: $\frac{23}{10}$

- $23 ÷ 10 = 2$ with remainder $3$
- So, $\frac{23}{10} = 2 \frac{3}{10}$
- Shade 2 full circles, and 3 tenths in the third circle

✔ Answer: $2 \frac{3}{10}$

---

✔ Final Answers:

| # | Improper Fraction | Mixed Number |
|---|-------------------|--------------|
| 1 | $\frac{9}{4}$ | $2 \frac{1}{4}$ |
| 2 | $\frac{10}{3}$ | $3 \frac{1}{3}$ |
| 3 | $\frac{5}{2}$ | $2 \frac{1}{2}$ |
| 4 | $\frac{15}{4}$ | $3 \frac{3}{4}$ |
| 5 | $\frac{12}{5}$ | $2 \frac{2}{5}$ |
| 6 | $\frac{11}{6}$ | $1 \frac{5}{6}$ |
| 7 | $\frac{12}{7}$ | $1 \frac{5}{7}$ |
| 8 | $\frac{8}{2}$ | $4$ |
| 9 | $\frac{13}{6}$ | $2 \frac{1}{6}$ |
|10 | $\frac{19}{8}$ | $2 \frac{3}{8}$ |
|11 | $\frac{13}{9}$ | $1 \frac{4}{9}$ |
|12 | $\frac{23}{10}$ | $2 \frac{3}{10}$ |

---

🎯 Instructions for Shading:

For each diagram:
- Each circle represents one whole.
- Divide it into equal parts as per the denominator.
- Shade the total number of parts equal to the numerator.
- Count how many full circles you can fill, and what’s left over.

For example:
- In $\frac{10}{3}$: 3 parts per circle → 3 full circles (9 parts), 1 more part shaded in the 4th circle → $3 \frac{1}{3}$

---

Let me know if you'd like a printable version or visual sketch!